Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 48, 161, 285, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 161, 285, 921 is 1
GCD(48, 161, 285, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 161, 285, 921 is 1
GCD(48, 161, 285, 921) = 1
Given Input numbers are 48, 161, 285, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 48, 161, 285, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 161, 285, 921 is 1.
Therefore, GCD of numbers 48, 161, 285, 921 is 1
Given Input Data is 48, 161, 285, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 161 is 7 x 23
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 921 is 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(48, 161) = 7728
GCD(48, 161) = ( 48 x 161 ) / 7728
GCD(48, 161) = 7728 / 7728
GCD(48, 161) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 285
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 285) = 285
GCD(1, 285) = ( 1 x 285 ) / 285
GCD(1, 285) = 285 / 285
GCD(1, 285) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 48, 161, 285, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 161, 285, 921?
GCD of 48, 161, 285, 921 is 1
2. Where do I get the detailed procedure to find GCD of 48, 161, 285, 921?
You can find a detailed procedure to find GCD of 48, 161, 285, 921 on our page.
3. How to find GCD of 48, 161, 285, 921 on a calculator?
You can find the GCD of 48, 161, 285, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.